What is the Greatest Common Factor of 37105 and 37120?

Greatest common factor (GCF) of 37105 and 37120 is 5.

GCF(37105,37120) = 5

We will now calculate the prime factors of 37105 and 37120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37105 and 37120.

How to find the GCF of 37105 and 37120?

We will first find the prime factorization of 37105 and 37120. After we will calculate the factors of 37105 and 37120 and find the biggest common factor number .

Step-1: Prime Factorization of 37105

Prime factors of 37105 are 5, 41, 181. Prime factorization of 37105 in exponential form is:

37105 = 5¹ × 41¹ × 181¹

Step-2: Prime Factorization of 37120

Prime factors of 37120 are 2, 5, 29. Prime factorization of 37120 in exponential form is:

37120 = 2⁸ × 5¹ × 29¹

Step-3: Factors of 37105

List of positive integer factors of 37105 that divides 37105 without a remainder.

1, 5, 41, 181, 205, 905, 7421

Step-4: Factors of 37120

List of positive integer factors of 37120 that divides 37105 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 64, 80, 116, 128, 145, 160, 232, 256, 290, 320, 464, 580, 640, 928, 1160, 1280, 1856, 2320, 3712, 4640, 7424, 9280, 18560

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37105 and 37120. The biggest common factor number is the GCF number.
So the greatest common factor 37105 and 37120 is 5.

Also check out the Least Common Multiple of 37105 and 37120